Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation
Ahmet Bekir, Maha S. M. Shehata, Emad H. M. Zahran
Abstract
Abstract In this article, we employ the Mikhailov–Novikov–Wang integrable equation (MNWIE) appearing by means of the perturbatives symmetry approach to the rating of integrable non‐evolutionary PDEs. The new exact soliton solutions of this equation which were not achieved before have been realized for the first time in the framework of the ( G ′/ G )‐expansion method. In the same vein and parallel, the corresponding numerical solutions of this equation have been established using the variational iteration method (VIM).
Topics & Concepts
Novikov self-consistency principleMathematicsIntegrable systemSymmetry (geometry)SolitonApplied mathematicsMathematical physicsMathematical analysisAlgebra over a fieldPure mathematicsNonlinear systemGeometryPhysicsQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsAdvanced Differential Equations and Dynamical Systems